If `a ,b` are complex numbers and one of the roots of the equation `x^2+a x+b=0` is purely real, whereas the other is purely imaginary, prove that `a^2- a ^2=4bdot`

If a,b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real,wheres the other is purely imaginary,prove that a^(2)-a^(-2)=4b

If a and b are complex and one of the roots of the equation x^(2) + ax + b =0 is purely real whereas the other is purely imaginary, then

If a , b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real whereas the other is purely imaginery, and a^(2)-bara^(2)=kb , then k is

The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is

" The number of imaginary roots of the equation x^(2)+7x+2=0

The number of real roots of the quadratic equation 3x^(2) + 4 = 0 is

If roots of the equation z^(2)+az+b=0 are purely imaginary then

If a,b,c are positive real numbers.then the number of real roots of the equation ax^(2)+b|x|+c=0 is